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All Journal Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Ardiansyah Yan Hakim Nasution
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Mathematics

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TEOREMA PAPPUS PADA ELIPS, PARABOLA DAN HIPERBOLA Ardiansyah Yan Hakim Nasution; Sri Gemawati; Musraini M.
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

Pappus theorem is  a  theorem that shows  collinearity of three points.  The three points are  the result of intersection lines  that  connects  any  six points. Any six points  are divided into  three points on a straight line and three points on another straight line. This paper  shows  that Pappus theorem  is  valid at  a  conic section  (ellips, parabola and hyperbola). The properties of  cross  ratio  are utilized to prove the validity of Pappus at the conic section.
Co-Authors Musraini M Sri Gemawati